Question

determine a fração geratriz da dízima periódica 5,3183318318....

Answer 1

$5,318318318...=5+ \frac{318^{:3}}{999_{:3}} =5+ \frac{106}{333}\\ = \frac{1665}{333} + \frac{106}{333}=+ \frac{1665+106}{333}=+ \frac{1771}{333}$